3. Student Learning Map

  • Topic:04. Triangles and Congruency (Chapter 4)
  • Subject(s):Math
  • Days:15
  • Grade(s):9, 10
Key Learning:

Properties, postulates and theorems are used to prove triangle congruence.
Unit Essential Question(s):
 
 
What are the important elements needed to prove that two triangles are congruent?
   
Concept:

Triangle Angle-Sum Theorem

PH: 3.3

MCD: 3.4

MA.912.G.4.1   MA.C.1.4.1   MA.B.1.4.2  
Concept:

Congruent Figures

PH: 4.1

MCD: 4.1

MA.912.G.4.8   MA.912.G.2.3   MA.C.2.4.1   MA.C.1.4.1   MA.B.2.4.1  
Concept:

Methods of Proving Triangles Congruent

PH: 4.2, 4.3

MCD: 4.2, 4.5

MA.912.G.8.5   MA.912.G.4.6   MA.C.2.4.1   MA.C.1.4.1  
Lesson Essential Question(s):

How is the triangle angle-sum theorem used to determine missing angle measures in a triangle? (A)
Lesson Essential Question(s):

What is the proper way of naming congruent figures? (A)
Lesson Essential Question(s):

What are the methods used to prove triangles are congruent? (A)

(ET)
Vocabulary:

acute triangle, right triangle, obtuse triangle, equiangular triangle, equilateral triangle, isosceles triangle, scalene triangle, exterior angle of a triangle, remote interior angles

Vocabulary:

congruent polygons

Vocabulary:

SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side)

Concept:

Using Congruent Triangles: CPCTC

PH: 4.4

MCD: 4.3

MA.912.G.8.5   MA.912.G.4.6   MA.C.2.4.1   MA.C.1.4.1   MA.B.2.4.1  
Concept:

Isosceles and Equilateral Triangles

PH: 4.5

MCD: 4.4

MA.912.G.4.8   MA.912.G.4.6   MA.912.G.4.1   MA.C.2.4.1   MA.C.1.4.1   MA.B.2.4.1  
Concept:

Congruence in Right Triangles

PH: 4.6

MA.912.G.8.5   MA.912.G.5.4   MA.C.2.4.1   MA.C.1.4.1  
Lesson Essential Question(s):

How is using CPCTC valuable in proving parts of triangles are congruent? (A)

(ET)
Lesson Essential Question(s):

How are the congruence properties used with isosceles and equilateral triangles? (A)

(ET)
Lesson Essential Question(s):

What relationships of right triangles help me prove triangles congruent?

 (A)
Vocabulary:

CPCTC (Corresponding Parts of Congruent Triangles are Congruent)

Vocabulary:

legs of an isosceles triangle, base of an isosceles triangle, vertex angle of an isosceles triangle, base angles of an isosceles triangle, corollary

Vocabulary:

hypotenuse, legs of a right triangle, HL (Hypotenuse-Leg) theorem

Concept:

Using CPCTC

PH: 4.7

MCD: 4.3, 4.6

MA.912.G.4.6   MA.C.2.4.1   MA.C.1.4.1  
Concept:
Concept:
Lesson Essential Question(s):

How is CPCTC valuable in proving overlapping triangles congruent? (A)
Lesson Essential Question(s):
Lesson Essential Question(s):
Vocabulary:

Vocabulary:

Vocabulary:

Additional Information:

Prentice Hall Geometry Textbook Chapter 3 (3.3), Chapter 4 (4.1-4.7)

Geometry (McDougal/Littell-Jergensen/Brown/Jergensen) Chapter 3 (3.4), Chapter 4 (4.1-4.6)

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Also include Language Arts Benchmarks: LA.910.1.6.1 (use of vocabulary), LA.910.1.6.2 (read and discuss text), LA.910.1.6.5 (relate new vocabulary), and LA.910.3.1.3 (use organizational strategies and tools (e.g., technology, spreadsheet, outline, chart, table, graph, Venn Diagram)).

Resources:

View As PDF
Know - Understand - Do Organizer
Student Learning Map
Vocabulary Report

Acquisition Lesson:

Extending Thinking Lesson:

Vocabulary Report

  • acute triangle -
  • hypotenuse -
  • legs of an isosceles triangle -
  • CPCTC (Corresponding Parts of Congruent Triangles are Congruent) -
  • SSS (Side-Side-Side) -
  • congruent polygons -
  • legs of a right triangle -
  • base of an isosceles triangle -
  • SAS (Side-Angle-Side) -
  • right triangle -
  • HL (Hypotenuse-Leg) theorem -
  • obtuse triangle -
  • ASA (Angle-Side-Angle) -
  • vertex angle of an isosceles triangle -
  • base angles of an isosceles triangle -
  • equiangular triangle -
  • AAS (Angle-Angle-Side) -
  • equilateral triangle -
  • corollary -
  • isosceles triangle -
  • scalene triangle -
  • exterior angle of a triangle -
  • remote interior angles -